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211213380 = 223572917341
BaseRepresentation
bin11001001011011…
…01110001000100
3112201102202021210
430211231301010
5413032312010
632543011420
75143166310
oct1445556104
9481382253
10211213380
11a9251814
125a899b70
13349b2241
14200a0b40
1513821b20
hexc96dc44

211213380 has 96 divisors (see below), whose sum is σ = 699229440. Its totient is φ = 46609920.

The previous prime is 211213363. The next prime is 211213397. The reversal of 211213380 is 83312112.

It is an interprime number because it is at equal distance from previous prime (211213363) and next prime (211213397).

It is a super-2 number, since 2×2112133802 = 89222183782048800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3510 + ... + 20850.

It is an arithmetic number, because the mean of its divisors is an integer number (7283640).

Almost surely, 2211213380 is an apocalyptic number.

211213380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211213380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349614720).

211213380 is an abundant number, since it is smaller than the sum of its proper divisors (488016060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211213380 is a wasteful number, since it uses less digits than its factorization.

211213380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17389 (or 17387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 211213380 is about 14533.1820328516. The cubic root of 211213380 is about 595.5347968114.

Adding to 211213380 its reverse (83312112), we get a palindrome (294525492).

The spelling of 211213380 in words is "two hundred eleven million, two hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 2030 2436 3045 4060 6090 12180 17341 34682 52023 69364 86705 104046 121387 173410 208092 242774 260115 346820 364161 485548 502889 520230 606935 728322 1005778 1040460 1213870 1456644 1508667 1820805 2011556 2427740 2514445 3017334 3520223 3641610 5028890 6034668 7040446 7283220 7543335 10057780 10560669 14080892 15086670 17601115 21121338 30173340 35202230 42242676 52803345 70404460 105606690 211213380